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CDM-Based Two-Degree-of-Freedom PID Controller Tuning Rules for Unstable FOPTD Processes

  • Somasundaram SEmail author
  • Benjanarasuth T
Conference paper
  • 36 Downloads

Abstract

This paper deals with the coefficient diagram method (CDM)-based two-degree-of-freedom proportional integral derivative (CDM-PID) controller tuning rules for unstable first-order plus time delay (UFOPTD) processes. The explicit tuning rules for setting the PID controller parameters are derived using a general UFOPTD transfer function model, the second-order Taylor denominator approximation technique and the pole allocation strategy named CDM. The derived tuning rules are novel, directly relating the controller parameters to the process model parameters. Simulation results indicate that the CDM-PID controller with the proposed tuning rules deliver better performance than other available PID controller tuning methods.

Keywords

CDM PID 2DOF UFOPTD Tuning rules 

Abbreviations

CDM

coefficient diagram method

PID

proportional integral derivative

2DOF

two-degree-of-freedom

UFOPTD

unstable first-order plus time delay

τ

equivalent time constant

γi

stability indices

st

settling time

K

process gain

T

process time constant

L

process time delay

Kc

proportional gain

Ti

integral time

Td

derivative time

%OV

percentage overshoot

TVsum

sum of the total variation

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Electronics & Instrumentation EngineeringAnnamalai UniversityChidambaramIndia
  2. 2.Faculty of EngineeringKing Mongkut’s Institute of Technology LadkrabangBangkokThailand

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